Factorise $: x^{3}-125$

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$(x-5)\left(x^{2}+5 x+25\right)$

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State whether each of the following statements is true or false

The degree of polynomial $5 x^{2}-7 x+2$ is $5 .$

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$x^{3}+8 x^{2}+9 x-18$

If the polynomials $a z^{3}+4 z^{2}+3 z-4$ and $z^{3}-4 z+a$ leave the same remainder when divided by $z-3,$ find the value of $a$.

Factorise :

$a^{3}-8 b^{3}-64 c^{3}-24 a b c$

Find the value of $a$, if $x-a$ is a factor of $x^{3}-a x^{2}+2 x+a-1$.